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Finding the Third Proportional to 321,693,130 and 497,097,916

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Solution

The third proportional to 321,693,130 and 497,097,916 is: 768,143,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693,130 : 497,097,916 = 497,097,916 : x
  2. Step 2: Convert to fraction form
    321,693,130/497,097,916 = 497,097,916/x
  3. Step 3: Cross multiply
    321,693,130x = 497,097,916 × 497,097,916
  4. Step 4: Simplify right side
    321,693,130x = 247,106,338,091,543,040
  5. Step 5: Solve for x
    x = 247,106,338,091,543,040/321,693,130
  6. Step 6: Final answer
    x = 768,143,037.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.